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anonymous
 one year ago
In parallelogram PQRS, find the height h. Then calculate the area of PQRS.
anonymous
 one year ago
In parallelogram PQRS, find the height h. Then calculate the area of PQRS.

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In a paralleogram, what do you know about opposite angles?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437449376951:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 ∠R=45, ∠S=18045=135, ∠P=45,and ∠Q=135.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. Opposite angles are congruent. dw:1437450112404:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1That makes the small triangle on the left side a 454590 triangle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437450166044:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since you have a 454590 triangle, you can use the ratio of the length of the sides of a 454590 triangle to find h.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you know the ratio of the sides of a 454590 triangle?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, \(1 : 1 : \sqrt 2\) The hypotenuse is \(\sqrt 2\) times the length of either leg. The legs are congruent. The height of the parallelogram is the leg of the right triangle. What is the length of the leg?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. Now you know the height of the parallelogram is 8. Do you know how to find the area of a parallelogram?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large A_{parallelogram} = bh\) where b = length of base, and h = height.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You were given a base of 20 cm, and you calculated a height of 8 cm.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A=bh. So A=20x8= 160cm^2

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1@SimiYami Do you understand how to find the area?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, thank you for the help @mathstudent55. This is the exact answer in my book :D
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